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Searching for dynamical black holes in various theories of gravity

Nojiri, Shin’ichi Odintsov, Sergei D. Faraoni, Valerio 名古屋大学

2021.02.15

概要

We construct models of Einstein and f(R) gravity with two scalar fields, which admit analytical solutions describing time-varying dynamical black holes. Their thermodynamics is investigated in the adiabatic approximation. In addition to the Misner-Sharp-Hernandez quasilocal mass, we provide time-dependent thermodynamical quantities, including the Hawking temperature, Helmholtz free energy, entropy, and thermodynamical energy. The latter does not always coincide with the Misner-Sharp-Hernandez mass at the horizon, although they coincide in the static limit. For Schwarzschild-type (i.e., gttgrr=−1) black holes in Einstein gravity, one of the two scalars is always a ghost with negative kinetic energy. We show that this ghost can be avoided in f(R) gravity.

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